Pith Number

pith:XFLZEWFH

pith:2000:XFLZEWFHX7BNCNY43ZQV5OGZJD

not attested not anchored not stored refs pending

How many Turing degrees are there?

Alexander S. Kechris, Randall Dougherty

arxiv:math/0001173 v1 · 2000-01-28 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFLZEWFHX7BNCNY43ZQV5OGZJD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-04T14:34:14.823843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9579258a7bfc2d1371cde615eb8d948f9dbbd02d1ee7b308207b2b059912246

Aliases

arxiv: math/0001173 · arxiv_version: math/0001173v1 · doi: 10.48550/arxiv.math/0001173 · pith_short_12: XFLZEWFHX7BN · pith_short_16: XFLZEWFHX7BNCNY4 · pith_short_8: XFLZEWFH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XFLZEWFHX7BNCNY43ZQV5OGZJD \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b9579258a7bfc2d1371cde615eb8d948f9dbbd02d1ee7b308207b2b059912246

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb14dde79fb06f5c37a8bb221fe394c096168410148919f1e38ebace7465fcc0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "2000-01-28T22:22:32Z",
    "title_canon_sha256": "2f0e0b594058c4d5e2752b9a53a42a673963bf12d9b15295e2580af90ac71519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0001173",
    "kind": "arxiv",
    "version": 1
  }
}